Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory
The focus of this study is to analyse the free vibration of cylindrical shells under third-order shear deformation theory (TSDT). The constitutive equations of the cylindrical shells are obtained using third-order shear deformation theory (TSDT). The surface and traverse displacements are expected t...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3792164 |
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| author | Muneerah Saad AL Nuwairan Saira Javed |
| author_facet | Muneerah Saad AL Nuwairan Saira Javed |
| author_sort | Muneerah Saad AL Nuwairan |
| collection | DOAJ |
| description | The focus of this study is to analyse the free vibration of cylindrical shells under third-order shear deformation theory (TSDT). The constitutive equations of the cylindrical shells are obtained using third-order shear deformation theory (TSDT). The surface and traverse displacements are expected to have cubic and quadratic variation. Spline approximation is used to approximate the displacements and transverse rotations. The resulting generalized eigenvalue problem is solved for the frequency parameter to get as many eigenfrequencies as required starting from the least. From the eigenvectors, the spline coefficients are computed from which the mode shapes are constructed. The frequency of cylindrical shells is analysed by varying circumferential node number, length dimension, layer number, and different materials. The authenticity of the present formulation is established by comparing with the available FEM results. |
| format | Article |
| id | doaj-art-f73b018e5d384fceb58fa90b089e451e |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-f73b018e5d384fceb58fa90b089e451e2025-02-03T01:06:33ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/3792164Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation TheoryMuneerah Saad AL Nuwairan0Saira Javed1Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsThe focus of this study is to analyse the free vibration of cylindrical shells under third-order shear deformation theory (TSDT). The constitutive equations of the cylindrical shells are obtained using third-order shear deformation theory (TSDT). The surface and traverse displacements are expected to have cubic and quadratic variation. Spline approximation is used to approximate the displacements and transverse rotations. The resulting generalized eigenvalue problem is solved for the frequency parameter to get as many eigenfrequencies as required starting from the least. From the eigenvectors, the spline coefficients are computed from which the mode shapes are constructed. The frequency of cylindrical shells is analysed by varying circumferential node number, length dimension, layer number, and different materials. The authenticity of the present formulation is established by comparing with the available FEM results.http://dx.doi.org/10.1155/2021/3792164 |
| spellingShingle | Muneerah Saad AL Nuwairan Saira Javed Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory Journal of Mathematics |
| title | Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory |
| title_full | Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory |
| title_fullStr | Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory |
| title_full_unstemmed | Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory |
| title_short | Free Vibration of Composite Cylindrical Shells Based on Third-Order Shear Deformation Theory |
| title_sort | free vibration of composite cylindrical shells based on third order shear deformation theory |
| url | http://dx.doi.org/10.1155/2021/3792164 |
| work_keys_str_mv | AT muneerahsaadalnuwairan freevibrationofcompositecylindricalshellsbasedonthirdordersheardeformationtheory AT sairajaved freevibrationofcompositecylindricalshellsbasedonthirdordersheardeformationtheory |